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Ex 7.4, 1 - Integrate 3x2 / x6 1 - Chapter 7 Class 12 - Ex 7.4
Ex 7.4, 1(3𝑥^2)/(𝑥^6 1) We need to find ∫1 (𝟑𝒙^𝟐)/(𝒙^𝟔 𝟏) 𝒅𝒙 Let 𝒙^𝟑=𝒕Diff both sides w.r.t. x 3𝑥^2=𝑑𝑡/𝑑𝑥 𝒅𝒙=𝒅𝒕/(𝟑𝒙^𝟐 )Thus, our equation becomes ∫1 (𝟑𝒙^𝟐)/(𝒙^𝟔 𝟏) 𝒅𝒙 =∫1 (3𝑥^2)/((𝑥^3 )^2 1) 𝑑𝑥Putting the value of 𝑥^3=𝑡 and ...
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